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Finding the Fourth Proportional to 16,417.42, 24,586.67 and 9,376.11

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Solution

The fourth proportional to 16,417.42, 24,586.67 and 9,376.11 is: 14,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.42 : 24,586.67 = 9,376.11 : x
  2. Step 2: Convert to fraction form
    16,417.42/24,586.67 = 9,376.11/x
  3. Step 3: Cross multiply
    16,417.42x = 24,586.67 × 9,376.11
  4. Step 4: Simplify right side
    16,417.42x = 230,527,152.64
  5. Step 5: Solve for x
    x = 230,527,152.64/16,417.42
  6. Step 6: Final answer
    x = 14,041.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.